### Problem:A student goes to the cafeteria to get an iced tea. He puts 3 ice cubes (approximately 20.0 mL each, \( c_{\text{ice}} = 2.100 \, \text{J/g}^\circ\text{C} \)) from the ice machine (at \(-15.0^\circ\text{C}\)) into a well-insulated cup and then fills the cup with 375 mL of tea. The tea is coming from a machine at room temperature, which is \( 22.5^\circ \text{C} \). The student is so immersed in studying chemistry that he forgets about his drink. When he finally goes to take his first drink, he notices that the ice has just melted. At what temperature is his iced tea? Assume the density of ice is that of water. It may be helpful to plot the temperatures on the heating curve below. \( L_{\text{H}_2\text{O}} = 333 \, \text{J/g} \).### Graph Explanation:The graph depicts a heating curve indicating the temperature changes over time for the iced tea. - The y-axis represents temperature.- The x-axis represents time.The curve starts at a lower temperature and shows an initial phase where the temperature remains constant as the ice absorbs heat and begins to melt, a phase where the temperature increases once all the ice has melted, and then a further temperature increase of the liquid.#### Key Points of the Heating Curve:1. **Initial Horizontal Line**: Represents the phase where the ice is absorbing heat but not changing temperature.2. **Diagonal Line Upward**: Indicates the increasing temperature of the liquid after the ice has melted, as it continues to absorb heat.### Conceptual Explanation:The problem involves calculating the final temperature of the iced tea mixture after the ice has completely melted, considering the heat exchanges between the ice and the tea.

Answered: Image /qna-images/answer/b3cf1149-bde6-4a6e-8ad1-c64aa52a6420.jpg

3. A student goes to the cafeteria to get an iced tea. He puts 3 ice cubes (approximately 20.0 mL each, Sice = 2.100 J/g °C) from the ice machine (at - 15.0°C) into a well- insulated cup and then fills the cup with 375 mL of tea. The tea is coming from a machine at room temperature, which is 22.5°C. The student is so immersed in studying chemistry that he forgets about his drink. When he finally goes to take his first drink, he notices that the ice has just melted. At what temperature is his iced tea? Assume the density of ice is that of water. It may be helpful to plot the temperatures on the heating curve below. H₂O = 333 J/g. Temperature Time

3. A student goes to the cafeteria to get an iced tea. He puts 3 ice cubes (approximately 20.0 mL each, Sice = 2.100 J/g °C) from the ice machine (at - 15.0°C) into a well- insulated cup and then fills the cup with 375 mL of tea. The tea is coming from a machine at room temperature, which is 22.5°C. The student is so immersed in studying chemistry that he forgets about his drink. When he finally goes to take his first drink, he notices that the ice has just melted. At what temperature is his iced tea? Assume the density of ice is that of water. It may be helpful to plot the temperatures on the heating curve below. H₂O = 333 J/g. Temperature Time

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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